TSTP Solution File: GRP357-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP357-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:59:30 EDT 2023
% Result : Unsatisfiable 14.43s 2.70s
% Output : CNFRefutation 14.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 30
% Syntax : Number of clauses : 305 ( 42 unt; 81 nHn; 280 RR)
% Number of literals : 772 ( 742 equ; 390 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 229 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_79,negated_conjecture,
( multiply(X0,X1) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| multiply(sk_c7,sk_c6) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X0) != X1
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(sk_c8) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,inverse(X1)) != sk_c8
| multiply(inverse(X1),sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(sk_c7,sk_c6) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X0) != sk_c8
| inverse(X2) != sk_c8
| inverse(sk_c8) != sk_c6 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_85,plain,
multiply(inverse(sk_c8),sk_c8) = identity,
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_372,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_83]) ).
cnf(c_373,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_83]) ).
cnf(c_374,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_83]) ).
cnf(c_375,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c8) != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_376,plain,
X0 = X0,
theory(equality) ).
cnf(c_377,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_378,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_379,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_380,plain,
( sk_c8 != sk_c8
| multiply(sk_c8,sk_c8) = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_378]) ).
cnf(c_381,plain,
( sk_c8 != sk_c8
| inverse(sk_c8) = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_379]) ).
cnf(c_382,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_723,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_373]) ).
cnf(c_782,plain,
( multiply(sk_c8,identity) != sk_c7
| inverse(inverse(sk_c8)) != sk_c8
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_374]) ).
cnf(c_835,plain,
( multiply(sk_c7,inverse(sk_c7)) != sk_c8
| sk_c8 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_372]) ).
cnf(c_873,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c8) != sk_c6
| inverse(sk_c4) = sk_c8
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_54,c_375]) ).
cnf(c_893,plain,
( inverse(sk_c8) != X0
| sk_c6 != X0
| inverse(sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_901,plain,
( inverse(sk_c8) != inverse(sk_c8)
| sk_c6 != inverse(sk_c8)
| inverse(sk_c8) = sk_c6 ),
inference(instantiation,[status(thm)],[c_893]) ).
cnf(c_913,plain,
( multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c8,X0)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_49,c_82]) ).
cnf(c_939,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_1055,plain,
( inverse(X0) != X1
| sk_c6 != X1
| sk_c6 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1066,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_1067,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1069,plain,
multiply(identity,inverse(sk_c8)) = inverse(sk_c8),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1081,plain,
multiply(identity,inverse(X0)) = inverse(X0),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1083,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1095,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_939,c_80]) ).
cnf(c_1108,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(superposition,[status(thm)],[c_50,c_1095]) ).
cnf(c_1110,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c8
| inverse(sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_1095]) ).
cnf(c_1116,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_71,c_1095]) ).
cnf(c_1117,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c8
| inverse(sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_59,c_1095]) ).
cnf(c_1126,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_1095]) ).
cnf(c_1127,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_1095]) ).
cnf(c_1128,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_82,c_1095]) ).
cnf(c_1133,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1095,c_1095]) ).
cnf(c_1213,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_1067]) ).
cnf(c_1234,plain,
( inverse(sk_c4) != sk_c8
| X0 != sk_c8
| X0 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_1083]) ).
cnf(c_1235,plain,
( inverse(sk_c4) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_1234]) ).
cnf(c_1237,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1273,plain,
( multiply(identity,inverse(sk_c8)) != X0
| X1 != X0
| X1 = multiply(identity,inverse(sk_c8)) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1276,plain,
( X0 != identity
| X1 != inverse(sk_c8)
| multiply(X0,X1) = multiply(identity,inverse(sk_c8)) ),
inference(instantiation,[status(thm)],[c_378]) ).
cnf(c_1278,plain,
( sk_c8 != inverse(sk_c8)
| sk_c8 != identity
| multiply(sk_c8,sk_c8) = multiply(identity,inverse(sk_c8)) ),
inference(instantiation,[status(thm)],[c_1276]) ).
cnf(c_1318,plain,
( multiply(identity,inverse(X0)) != X1
| X2 != X1
| X2 = multiply(identity,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1323,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1127,c_1133]) ).
cnf(c_1331,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1323,c_1126]) ).
cnf(c_1361,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1133,c_81]) ).
cnf(c_1365,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1133,c_1095]) ).
cnf(c_1366,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1133,c_1323]) ).
cnf(c_1367,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1366,c_1323]) ).
cnf(c_1391,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_1367]) ).
cnf(c_1392,plain,
multiply(sk_c8,inverse(sk_c8)) = identity,
inference(instantiation,[status(thm)],[c_1361]) ).
cnf(c_1441,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1213]) ).
cnf(c_1442,plain,
( multiply(identity,sk_c6) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_1213]) ).
cnf(c_1443,plain,
multiply(identity,sk_c6) = sk_c6,
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1445,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1448,plain,
( inverse(sk_c8) = sk_c3
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_69,c_1367]) ).
cnf(c_1450,plain,
( inverse(sk_c8) = sk_c4
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_72,c_1367]) ).
cnf(c_1666,plain,
( inverse(sk_c4) != sk_c8
| X0 != sk_c8
| inverse(sk_c4) = X0 ),
inference(instantiation,[status(thm)],[c_1237]) ).
cnf(c_1764,plain,
( X0 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_1067]) ).
cnf(c_1838,plain,
( multiply(sk_c3,sk_c8) = identity
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_69,c_1361]) ).
cnf(c_1840,plain,
( multiply(sk_c4,sk_c8) = identity
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_72,c_1361]) ).
cnf(c_1844,plain,
( multiply(sk_c1,sk_c2) = identity
| inverse(sk_c8) = sk_c4 ),
inference(superposition,[status(thm)],[c_1450,c_1361]) ).
cnf(c_1845,plain,
( multiply(sk_c1,sk_c2) = identity
| inverse(sk_c8) = sk_c3 ),
inference(superposition,[status(thm)],[c_1448,c_1361]) ).
cnf(c_1932,plain,
( multiply(sk_c3,multiply(sk_c8,X0)) = X0
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_69,c_1365]) ).
cnf(c_1945,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != sk_c8
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1365,c_374]) ).
cnf(c_1958,plain,
( sk_c7 != sk_c8
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1945,c_1367]) ).
cnf(c_2142,plain,
( inverse(sk_c1) = sk_c2
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1838,c_68]) ).
cnf(c_2162,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2142,c_1361]) ).
cnf(c_2212,plain,
( inverse(sk_c1) = sk_c2
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1840,c_71]) ).
cnf(c_2232,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_2212,c_1361]) ).
cnf(c_2332,plain,
( multiply(identity,inverse(sk_c8)) != X0
| X1 != X0
| multiply(identity,inverse(sk_c8)) = X1 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_2337,plain,
( multiply(identity,inverse(sk_c8)) != inverse(sk_c8)
| X0 != inverse(sk_c8)
| X0 = multiply(identity,inverse(sk_c8)) ),
inference(instantiation,[status(thm)],[c_1273]) ).
cnf(c_2351,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_1110]) ).
cnf(c_2368,plain,
( multiply(sk_c8,multiply(inverse(sk_c6),X0)) = multiply(sk_c7,X0)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_1365,c_913]) ).
cnf(c_2453,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_2455,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_2547,plain,
( inverse(sk_c8) = sk_c6
| sk_c6 = sk_c8 ),
inference(superposition,[status(thm)],[c_2351,c_55]) ).
cnf(c_2693,plain,
( multiply(sk_c8,sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_72,c_1116]) ).
cnf(c_2718,plain,
( multiply(identity,inverse(X0)) != inverse(sk_c4)
| X1 != inverse(sk_c4)
| X1 = multiply(identity,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_1318]) ).
cnf(c_2727,plain,
( inverse(sk_c1) = sk_c2
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_2693,c_70]) ).
cnf(c_2743,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_2727,c_1361]) ).
cnf(c_2776,plain,
( multiply(sk_c8,sk_c5) = sk_c8
| inverse(sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_60,c_1117]) ).
cnf(c_3049,plain,
( inverse(sk_c8) = sk_c6
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_2776,c_58]) ).
cnf(c_3157,plain,
( multiply(sk_c7,sk_c6) != X0
| sk_c8 != X0
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_3459,plain,
( multiply(sk_c7,sk_c6) != X0
| X1 != X0
| multiply(sk_c7,sk_c6) = X1 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_3460,plain,
( multiply(sk_c7,sk_c6) != multiply(X0,X1)
| sk_c8 != multiply(X0,X1)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(instantiation,[status(thm)],[c_3157]) ).
cnf(c_3461,plain,
( sk_c7 != X0
| sk_c6 != X1
| multiply(sk_c7,sk_c6) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_378]) ).
cnf(c_3731,plain,
( multiply(sk_c8,sk_c7) != X0
| X1 != X0
| X1 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_3740,plain,
( inverse(sk_c4) != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c6 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_1764]) ).
cnf(c_3741,plain,
( multiply(sk_c8,sk_c7) != sk_c8
| inverse(sk_c4) != sk_c8
| inverse(sk_c4) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1666]) ).
cnf(c_4639,plain,
( multiply(identity,inverse(sk_c4)) != inverse(sk_c4)
| X0 != inverse(sk_c4)
| X0 = multiply(identity,inverse(sk_c4)) ),
inference(instantiation,[status(thm)],[c_2718]) ).
cnf(c_4640,plain,
multiply(identity,inverse(sk_c4)) = inverse(sk_c4),
inference(instantiation,[status(thm)],[c_1081]) ).
cnf(c_4641,plain,
( multiply(identity,inverse(sk_c4)) != inverse(sk_c4)
| sk_c8 != inverse(sk_c4)
| sk_c8 = multiply(identity,inverse(sk_c4)) ),
inference(instantiation,[status(thm)],[c_4639]) ).
cnf(c_4825,plain,
( X0 != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1445]) ).
cnf(c_4826,plain,
( sk_c6 != multiply(identity,sk_c6)
| sk_c8 != multiply(identity,sk_c6)
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_4825]) ).
cnf(c_5274,plain,
( multiply(sk_c3,sk_c8) = sk_c5
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_2693,c_1932]) ).
cnf(c_5830,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1361,c_1128]) ).
cnf(c_5905,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_5830,c_1323]) ).
cnf(c_6698,plain,
( multiply(identity,inverse(sk_c8)) != inverse(sk_c8)
| identity != inverse(sk_c8)
| identity = multiply(identity,inverse(sk_c8)) ),
inference(instantiation,[status(thm)],[c_2337]) ).
cnf(c_6739,plain,
( multiply(identity,inverse(sk_c8)) != inverse(sk_c8)
| X0 != inverse(sk_c8)
| multiply(identity,inverse(sk_c8)) = X0 ),
inference(instantiation,[status(thm)],[c_2332]) ).
cnf(c_6872,plain,
( X0 != multiply(identity,inverse(X1))
| identity != multiply(identity,inverse(X1))
| X0 = identity ),
inference(instantiation,[status(thm)],[c_2455]) ).
cnf(c_7422,plain,
( multiply(sk_c7,sk_c6) != X0
| sk_c8 != X0
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_7423,plain,
( multiply(sk_c7,sk_c6) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_7422]) ).
cnf(c_7631,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| sk_c7 = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2743,c_64]) ).
cnf(c_7632,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2743,c_61]) ).
cnf(c_7861,plain,
( sk_c7 != identity
| sk_c6 != inverse(sk_c8)
| multiply(sk_c7,sk_c6) = multiply(identity,inverse(sk_c8)) ),
inference(instantiation,[status(thm)],[c_3461]) ).
cnf(c_7863,plain,
( sk_c7 != identity
| sk_c6 != inverse(X0)
| multiply(sk_c7,sk_c6) = multiply(identity,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_3461]) ).
cnf(c_8337,plain,
( multiply(X0,X1) != X2
| sk_c8 != X2
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_9800,plain,
( multiply(sk_c7,sk_c6) != multiply(identity,inverse(sk_c4))
| sk_c8 != multiply(identity,inverse(sk_c4))
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(instantiation,[status(thm)],[c_3460]) ).
cnf(c_10274,plain,
( inverse(inverse(multiply(sk_c8,X0))) != sk_c8
| multiply(sk_c8,inverse(X0)) != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_5905,c_374]) ).
cnf(c_10996,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| X0 != sk_c6
| X0 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_3731]) ).
cnf(c_10997,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c8 != sk_c6
| sk_c8 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_10996]) ).
cnf(c_11084,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_11085,plain,
( sk_c7 != sk_c8
| sk_c8 != sk_c8
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_11084]) ).
cnf(c_12961,plain,
( inverse(sk_c8) = sk_c4
| inverse(sk_c4) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1844,c_66]) ).
cnf(c_13234,plain,
( sk_c7 != identity
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_723,c_723,c_1391]) ).
cnf(c_13886,plain,
( multiply(identity,sk_c6) != X0
| X1 != X0
| X1 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_13887,plain,
( multiply(identity,sk_c6) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_13886]) ).
cnf(c_13908,plain,
( inverse(sk_c8) = sk_c3
| inverse(sk_c3) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1845,c_63]) ).
cnf(c_16151,plain,
( inverse(X0) != identity
| X1 != identity
| X1 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_1083]) ).
cnf(c_16153,plain,
( inverse(sk_c8) != identity
| sk_c8 != identity
| sk_c8 = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_16151]) ).
cnf(c_16168,plain,
( multiply(identity,inverse(sk_c8)) != identity
| X0 != identity
| X0 = multiply(identity,inverse(sk_c8)) ),
inference(instantiation,[status(thm)],[c_1273]) ).
cnf(c_16170,plain,
( multiply(identity,inverse(sk_c8)) != identity
| sk_c8 != identity
| sk_c8 = multiply(identity,inverse(sk_c8)) ),
inference(instantiation,[status(thm)],[c_16168]) ).
cnf(c_17380,plain,
( inverse(sk_c1) = sk_c2
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_5274,c_68]) ).
cnf(c_17408,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_17380,c_1361]) ).
cnf(c_17829,plain,
( inverse(sk_c8) = sk_c4
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_12961,c_1367]) ).
cnf(c_17893,plain,
( inverse(sk_c8) = sk_c3
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_13908,c_1367]) ).
cnf(c_18668,plain,
( sk_c8 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_835,c_1361]) ).
cnf(c_18772,plain,
( multiply(sk_c4,sk_c8) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_17829,c_81]) ).
cnf(c_18908,plain,
( sk_c8 = identity
| sk_c3 = sk_c4 ),
inference(superposition,[status(thm)],[c_17893,c_17829]) ).
cnf(c_18941,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_17893,c_1367]) ).
cnf(c_18943,plain,
( multiply(sk_c3,sk_c8) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_17893,c_81]) ).
cnf(c_19377,plain,
( multiply(sk_c3,sk_c8) = sk_c5
| multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_18908,c_65]) ).
cnf(c_19378,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c5
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_18908,c_53]) ).
cnf(c_20483,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_18772,c_65]) ).
cnf(c_20489,plain,
( multiply(sk_c8,identity) != sk_c7
| inverse(sk_c4) != sk_c8
| ~ sP2_iProver_split
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_18772,c_374]) ).
cnf(c_20527,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_18943,c_62]) ).
cnf(c_20586,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_18941,c_1108]) ).
cnf(c_20708,plain,
( sk_c8 = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_20483,c_2232]) ).
cnf(c_20753,plain,
( sk_c7 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_20527,c_2162]) ).
cnf(c_21091,plain,
( multiply(sk_c7,sk_c6) != identity
| X0 != identity
| multiply(sk_c7,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_3459]) ).
cnf(c_21093,plain,
( multiply(sk_c7,sk_c6) != multiply(identity,inverse(X0))
| identity != multiply(identity,inverse(X0))
| multiply(sk_c7,sk_c6) = identity ),
inference(instantiation,[status(thm)],[c_6872]) ).
cnf(c_21097,plain,
( multiply(sk_c7,sk_c6) != identity
| sk_c8 != identity
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(instantiation,[status(thm)],[c_21091]) ).
cnf(c_21099,plain,
( multiply(sk_c7,sk_c6) != multiply(identity,inverse(sk_c8))
| identity != multiply(identity,inverse(sk_c8))
| multiply(sk_c7,sk_c6) = identity ),
inference(instantiation,[status(thm)],[c_21093]) ).
cnf(c_21822,plain,
( multiply(sk_c8,identity) = sk_c7
| sk_c7 = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_20708,c_7631]) ).
cnf(c_22002,plain,
( ~ sP1_iProver_split
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_20753,c_13234]) ).
cnf(c_22328,plain,
( inverse(X0) != identity
| sk_c6 != identity
| sk_c6 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_1055]) ).
cnf(c_22337,plain,
( inverse(sk_c8) != identity
| sk_c6 != identity
| sk_c6 = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_22328]) ).
cnf(c_23328,plain,
( multiply(sk_c3,sk_c8) != sk_c7
| sk_c8 != sk_c7
| sk_c8 = multiply(sk_c3,sk_c8) ),
inference(instantiation,[status(thm)],[c_8337]) ).
cnf(c_23331,plain,
( multiply(sk_c1,sk_c2) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(instantiation,[status(thm)],[c_8337]) ).
cnf(c_23340,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_23341,plain,
( multiply(X0,X1) != multiply(X2,X3)
| sk_c8 != multiply(X2,X3)
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_8337]) ).
cnf(c_24017,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_24096,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_24017,c_80]) ).
cnf(c_24118,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_71,c_24096]) ).
cnf(c_24636,plain,
( multiply(sk_c8,sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_72,c_24118]) ).
cnf(c_24655,plain,
( inverse(sk_c1) = sk_c2
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_24636,c_70]) ).
cnf(c_24670,plain,
( multiply(sk_c1,inverse(sk_c1)) != sk_c8
| multiply(sk_c2,sk_c7) != sk_c8
| ~ sP0_iProver_split
| sk_c7 = sk_c8 ),
inference(superposition,[status(thm)],[c_24655,c_372]) ).
cnf(c_30797,plain,
sk_c3 = sk_c3,
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_31782,plain,
( sk_c7 != identity
| sk_c6 != inverse(sk_c4)
| multiply(sk_c7,sk_c6) = multiply(identity,inverse(sk_c4)) ),
inference(instantiation,[status(thm)],[c_7863]) ).
cnf(c_40690,plain,
( multiply(X0,X1) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| multiply(X0,X1) = X2 ),
inference(instantiation,[status(thm)],[c_23340]) ).
cnf(c_40692,plain,
( multiply(sk_c8,sk_c8) != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c8,sk_c8)
| multiply(sk_c8,sk_c8) = sk_c8 ),
inference(instantiation,[status(thm)],[c_40690]) ).
cnf(c_43165,plain,
( multiply(X0,X1) != multiply(identity,inverse(sk_c8))
| sk_c8 != multiply(identity,inverse(sk_c8))
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_23341]) ).
cnf(c_43171,plain,
( multiply(sk_c8,sk_c8) != multiply(identity,inverse(sk_c8))
| sk_c8 != multiply(identity,inverse(sk_c8))
| sk_c8 = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_43165]) ).
cnf(c_43351,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c7 = sk_c5
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_19377,c_62]) ).
cnf(c_43390,plain,
( sk_c7 = sk_c5
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_43351,c_17408]) ).
cnf(c_43452,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_19378,c_54,c_49,c_382,c_1066,c_1235,c_1441,c_3740,c_3741,c_4641,c_4640,c_9800,c_20586,c_20753,c_31782]) ).
cnf(c_43459,plain,
( multiply(identity,sk_c6) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_20753,c_43452]) ).
cnf(c_43460,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c8) != sk_c6
| sk_c8 = identity
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_43452,c_375]) ).
cnf(c_44331,plain,
( multiply(sk_c8,sk_c7) = sk_c7
| sk_c7 = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_43390,c_7631]) ).
cnf(c_47966,plain,
( multiply(identity,inverse(sk_c8)) != inverse(sk_c8)
| identity != inverse(sk_c8)
| multiply(identity,inverse(sk_c8)) = identity ),
inference(instantiation,[status(thm)],[c_6739]) ).
cnf(c_67757,plain,
( multiply(sk_c8,inverse(X0)) != sk_c7
| multiply(sk_c8,X0) != sk_c8
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_10274,c_1367]) ).
cnf(c_67764,plain,
( multiply(sk_c8,sk_c8) != sk_c8
| sk_c7 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1361,c_67757]) ).
cnf(c_69727,plain,
( ~ sP2_iProver_split
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_20489,c_782,c_1391,c_1958,c_21822]) ).
cnf(c_76282,plain,
( multiply(X0,inverse(X0)) != X1
| sk_c8 != X1
| multiply(X0,inverse(X0)) = sk_c8 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_76284,plain,
multiply(identity,inverse(identity)) = inverse(identity),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_76293,plain,
( multiply(X0,inverse(X0)) != X1
| X2 != X1
| multiply(X0,inverse(X0)) = X2 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_76294,plain,
( multiply(X0,inverse(X0)) != multiply(X1,X2)
| sk_c8 != multiply(X1,X2)
| multiply(X0,inverse(X0)) = sk_c8 ),
inference(instantiation,[status(thm)],[c_76282]) ).
cnf(c_76295,plain,
( inverse(X0) != X1
| X0 != X2
| multiply(X0,inverse(X0)) = multiply(X2,X1) ),
inference(instantiation,[status(thm)],[c_378]) ).
cnf(c_76298,plain,
( inverse(identity) != X0
| sk_c8 != X0
| sk_c8 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_76303,plain,
( multiply(X0,inverse(X0)) != X1
| sk_c8 != X1
| sk_c8 = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_76314,plain,
( multiply(identity,inverse(identity)) != inverse(identity)
| X0 != inverse(identity)
| multiply(identity,inverse(identity)) = X0 ),
inference(instantiation,[status(thm)],[c_76293]) ).
cnf(c_76317,plain,
( multiply(X0,X1) != X2
| sk_c8 != X2
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_76318,plain,
( inverse(sk_c3) != sk_c8
| sk_c3 != X0
| multiply(sk_c3,inverse(sk_c3)) = multiply(X0,sk_c8) ),
inference(instantiation,[status(thm)],[c_76295]) ).
cnf(c_76322,plain,
( inverse(sk_c8) != sk_c6
| sk_c8 != X0
| multiply(sk_c8,inverse(sk_c8)) = multiply(X0,sk_c6) ),
inference(instantiation,[status(thm)],[c_76295]) ).
cnf(c_76324,plain,
( inverse(sk_c1) != sk_c2
| sk_c1 != X0
| multiply(sk_c1,inverse(sk_c1)) = multiply(X0,sk_c2) ),
inference(instantiation,[status(thm)],[c_76295]) ).
cnf(c_76328,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_76336,plain,
( inverse(identity) != inverse(X0)
| sk_c8 != inverse(X0)
| sk_c8 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_76298]) ).
cnf(c_76337,plain,
( identity != X0
| inverse(identity) = inverse(X0) ),
inference(instantiation,[status(thm)],[c_379]) ).
cnf(c_76342,plain,
( multiply(sk_c3,inverse(sk_c3)) != multiply(X0,sk_c8)
| X1 != multiply(X0,sk_c8)
| multiply(sk_c3,inverse(sk_c3)) = X1 ),
inference(instantiation,[status(thm)],[c_76293]) ).
cnf(c_76357,plain,
( inverse(identity) != X0
| X1 != X0
| X1 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_76359,plain,
( X0 != identity
| inverse(X0) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_379]) ).
cnf(c_76361,plain,
( sk_c8 != identity
| inverse(sk_c8) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_76359]) ).
cnf(c_76379,plain,
( multiply(sk_c3,inverse(sk_c3)) != multiply(X0,sk_c8)
| sk_c8 != multiply(X0,sk_c8)
| sk_c8 = multiply(sk_c3,inverse(sk_c3)) ),
inference(instantiation,[status(thm)],[c_76303]) ).
cnf(c_76383,plain,
( multiply(sk_c8,inverse(sk_c8)) != multiply(X0,sk_c6)
| sk_c8 != multiply(X0,sk_c6)
| sk_c8 = multiply(sk_c8,inverse(sk_c8)) ),
inference(instantiation,[status(thm)],[c_76303]) ).
cnf(c_76398,plain,
( inverse(sk_c3) != sk_c8
| sk_c3 != sk_c3
| multiply(sk_c3,inverse(sk_c3)) = multiply(sk_c3,sk_c8) ),
inference(instantiation,[status(thm)],[c_76318]) ).
cnf(c_76400,plain,
( X0 != X1
| sk_c3 != X1
| sk_c3 = X0 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_76407,plain,
( inverse(sk_c1) != sk_c2
| sk_c1 != sk_c1
| multiply(sk_c1,inverse(sk_c1)) = multiply(sk_c1,sk_c2) ),
inference(instantiation,[status(thm)],[c_76324]) ).
cnf(c_76408,plain,
sk_c1 = sk_c1,
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_76412,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_76419,plain,
( inverse(X0) != inverse(X1)
| X2 != inverse(X1)
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_76328]) ).
cnf(c_76421,plain,
( inverse(identity) != identity
| X0 != identity
| inverse(identity) = X0 ),
inference(instantiation,[status(thm)],[c_76328]) ).
cnf(c_76427,plain,
( multiply(X0,inverse(X0)) != multiply(X1,inverse(X2))
| sk_c8 != multiply(X1,inverse(X2))
| sk_c8 = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_76303]) ).
cnf(c_76436,plain,
( multiply(X0,inverse(X0)) != X1
| X2 != X1
| X2 = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_76505,plain,
( multiply(sk_c1,inverse(sk_c1)) != multiply(sk_c1,sk_c2)
| sk_c8 != multiply(sk_c1,sk_c2)
| multiply(sk_c1,inverse(sk_c1)) = sk_c8 ),
inference(instantiation,[status(thm)],[c_76294]) ).
cnf(c_76509,plain,
( multiply(sk_c3,inverse(sk_c3)) != multiply(sk_c3,sk_c8)
| sk_c8 != multiply(sk_c3,sk_c8)
| sk_c8 = multiply(sk_c3,inverse(sk_c3)) ),
inference(instantiation,[status(thm)],[c_76379]) ).
cnf(c_76520,plain,
( multiply(sk_c3,inverse(sk_c3)) != multiply(sk_c3,sk_c8)
| X0 != multiply(sk_c3,sk_c8)
| multiply(sk_c3,inverse(sk_c3)) = X0 ),
inference(instantiation,[status(thm)],[c_76342]) ).
cnf(c_76532,plain,
( X0 != sk_c3
| sk_c3 != sk_c3
| sk_c3 = X0 ),
inference(instantiation,[status(thm)],[c_76400]) ).
cnf(c_76605,plain,
( sk_c8 != X0
| identity != X0
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_76625,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_76637,plain,
( multiply(inverse(X0),X0) != identity
| inverse(identity) != identity
| inverse(identity) = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_76421]) ).
cnf(c_76638,plain,
( multiply(inverse(sk_c8),sk_c8) != identity
| inverse(identity) != identity
| inverse(identity) = multiply(inverse(sk_c8),sk_c8) ),
inference(instantiation,[status(thm)],[c_76637]) ).
cnf(c_76652,plain,
( inverse(identity) != identity
| X0 != identity
| X0 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_76357]) ).
cnf(c_76656,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_76412]) ).
cnf(c_76663,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_76681,plain,
( multiply(identity,inverse(identity)) != inverse(identity)
| X0 != inverse(identity)
| X0 = multiply(identity,inverse(identity)) ),
inference(instantiation,[status(thm)],[c_76436]) ).
cnf(c_76910,plain,
( multiply(X0,inverse(X0)) != multiply(sk_c3,inverse(sk_c3))
| sk_c8 != multiply(sk_c3,inverse(sk_c3))
| sk_c8 = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_76427]) ).
cnf(c_76927,plain,
( multiply(sk_c3,sk_c8) != X0
| X1 != X0
| X1 = multiply(sk_c3,sk_c8) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_76929,plain,
( multiply(sk_c3,inverse(sk_c3)) != multiply(sk_c3,sk_c8)
| multiply(X0,X1) != multiply(sk_c3,sk_c8)
| multiply(sk_c3,inverse(sk_c3)) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_76520]) ).
cnf(c_77065,plain,
( multiply(X0,inverse(X0)) != identity
| inverse(multiply(X0,inverse(X0))) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_76359]) ).
cnf(c_77066,plain,
( multiply(sk_c8,inverse(sk_c8)) != identity
| inverse(multiply(sk_c8,inverse(sk_c8))) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_77065]) ).
cnf(c_77082,plain,
( multiply(X0,inverse(X0)) != inverse(identity)
| multiply(identity,inverse(identity)) != inverse(identity)
| multiply(identity,inverse(identity)) = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_76314]) ).
cnf(c_77241,plain,
( inverse(X0) != sk_c3
| sk_c3 != sk_c3
| sk_c3 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_76532]) ).
cnf(c_77243,plain,
( inverse(sk_c8) != sk_c3
| sk_c3 != sk_c3
| sk_c3 = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_77241]) ).
cnf(c_77256,plain,
( multiply(identity,inverse(identity)) != inverse(identity)
| inverse(X0) != inverse(identity)
| inverse(X0) = multiply(identity,inverse(identity)) ),
inference(instantiation,[status(thm)],[c_76681]) ).
cnf(c_77570,plain,
( identity != multiply(X0,inverse(X0))
| inverse(identity) = inverse(multiply(X0,inverse(X0))) ),
inference(instantiation,[status(thm)],[c_76337]) ).
cnf(c_77574,plain,
( identity != multiply(sk_c8,inverse(sk_c8))
| inverse(identity) = inverse(multiply(sk_c8,inverse(sk_c8))) ),
inference(instantiation,[status(thm)],[c_77570]) ).
cnf(c_77950,plain,
( sk_c8 != multiply(X0,inverse(X0))
| identity != multiply(X0,inverse(X0))
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_76605]) ).
cnf(c_77952,plain,
( sk_c8 != multiply(sk_c8,inverse(sk_c8))
| identity != multiply(sk_c8,inverse(sk_c8))
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_77950]) ).
cnf(c_77962,plain,
( inverse(X0) != inverse(X1)
| identity != inverse(X1)
| inverse(X0) = identity ),
inference(instantiation,[status(thm)],[c_76419]) ).
cnf(c_77971,plain,
( inverse(identity) != identity
| identity != identity
| identity = inverse(identity) ),
inference(instantiation,[status(thm)],[c_76652]) ).
cnf(c_78001,plain,
( multiply(X0,inverse(X0)) != identity
| identity != identity
| identity = multiply(X0,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_76656]) ).
cnf(c_78004,plain,
( multiply(sk_c8,inverse(sk_c8)) != identity
| identity != identity
| identity = multiply(sk_c8,inverse(sk_c8)) ),
inference(instantiation,[status(thm)],[c_78001]) ).
cnf(c_78064,plain,
( inverse(X0) != X1
| identity != X1
| identity = inverse(X0) ),
inference(instantiation,[status(thm)],[c_76663]) ).
cnf(c_78072,plain,
( inverse(sk_c3) != sk_c8
| sk_c3 != inverse(X0)
| multiply(sk_c3,inverse(sk_c3)) = multiply(inverse(X0),sk_c8) ),
inference(instantiation,[status(thm)],[c_76318]) ).
cnf(c_78073,plain,
( inverse(sk_c3) != sk_c8
| sk_c3 != inverse(sk_c8)
| multiply(sk_c3,inverse(sk_c3)) = multiply(inverse(sk_c8),sk_c8) ),
inference(instantiation,[status(thm)],[c_78072]) ).
cnf(c_78239,plain,
( multiply(sk_c8,inverse(sk_c8)) != multiply(sk_c7,sk_c6)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c8 = multiply(sk_c8,inverse(sk_c8)) ),
inference(instantiation,[status(thm)],[c_76383]) ).
cnf(c_78481,plain,
( multiply(sk_c3,inverse(sk_c3)) != multiply(X0,sk_c8)
| inverse(X1) != multiply(X0,sk_c8)
| multiply(sk_c3,inverse(sk_c3)) = inverse(X1) ),
inference(instantiation,[status(thm)],[c_76342]) ).
cnf(c_78576,plain,
( inverse(multiply(X0,X1)) != X2
| sk_c8 != X2
| inverse(multiply(X0,X1)) = sk_c8 ),
inference(instantiation,[status(thm)],[c_76328]) ).
cnf(c_79116,plain,
( multiply(X0,X1) != multiply(X2,X3)
| sk_c8 != multiply(X2,X3)
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_76317]) ).
cnf(c_81304,plain,
( inverse(identity) != inverse(multiply(X0,inverse(X0)))
| sk_c8 != inverse(multiply(X0,inverse(X0)))
| sk_c8 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_76336]) ).
cnf(c_81305,plain,
( inverse(identity) != inverse(multiply(sk_c8,inverse(sk_c8)))
| sk_c8 != inverse(multiply(sk_c8,inverse(sk_c8)))
| sk_c8 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_81304]) ).
cnf(c_81329,plain,
( inverse(multiply(X0,inverse(X0))) != inverse(identity)
| multiply(identity,inverse(identity)) != inverse(identity)
| inverse(multiply(X0,inverse(X0))) = multiply(identity,inverse(identity)) ),
inference(instantiation,[status(thm)],[c_77256]) ).
cnf(c_81330,plain,
( inverse(multiply(sk_c8,inverse(sk_c8))) != inverse(identity)
| multiply(identity,inverse(identity)) != inverse(identity)
| inverse(multiply(sk_c8,inverse(sk_c8))) = multiply(identity,inverse(identity)) ),
inference(instantiation,[status(thm)],[c_81329]) ).
cnf(c_81428,plain,
( multiply(identity,inverse(identity)) != multiply(sk_c3,inverse(sk_c3))
| sk_c8 != multiply(sk_c3,inverse(sk_c3))
| sk_c8 = multiply(identity,inverse(identity)) ),
inference(instantiation,[status(thm)],[c_76910]) ).
cnf(c_81429,plain,
( multiply(sk_c3,inverse(sk_c3)) != inverse(identity)
| multiply(identity,inverse(identity)) != inverse(identity)
| multiply(identity,inverse(identity)) = multiply(sk_c3,inverse(sk_c3)) ),
inference(instantiation,[status(thm)],[c_77082]) ).
cnf(c_81453,plain,
( multiply(sk_c3,sk_c8) != sk_c7
| X0 != sk_c7
| X0 = multiply(sk_c3,sk_c8) ),
inference(instantiation,[status(thm)],[c_76927]) ).
cnf(c_83819,plain,
( inverse(X0) != inverse(identity)
| identity != inverse(identity)
| identity = inverse(X0) ),
inference(instantiation,[status(thm)],[c_78064]) ).
cnf(c_83821,plain,
( X0 != inverse(identity)
| identity != inverse(identity)
| X0 = identity ),
inference(instantiation,[status(thm)],[c_76625]) ).
cnf(c_83824,plain,
( sk_c8 != inverse(identity)
| identity != inverse(identity)
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_83821]) ).
cnf(c_83825,plain,
( inverse(sk_c8) != inverse(identity)
| identity != inverse(identity)
| identity = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_83819]) ).
cnf(c_84325,plain,
( inverse(X0) != inverse(identity)
| identity != inverse(identity)
| inverse(X0) = identity ),
inference(instantiation,[status(thm)],[c_77962]) ).
cnf(c_84326,plain,
( inverse(sk_c8) != inverse(identity)
| identity != inverse(identity)
| inverse(sk_c8) = identity ),
inference(instantiation,[status(thm)],[c_84325]) ).
cnf(c_85065,plain,
( inverse(sk_c8) != sk_c6
| sk_c8 != sk_c7
| multiply(sk_c8,inverse(sk_c8)) = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_76322]) ).
cnf(c_85816,plain,
( multiply(X0,X1) != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_79116]) ).
cnf(c_87618,plain,
( multiply(sk_c3,inverse(sk_c3)) != multiply(inverse(sk_c8),sk_c8)
| inverse(identity) != multiply(inverse(sk_c8),sk_c8)
| multiply(sk_c3,inverse(sk_c3)) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_78481]) ).
cnf(c_94088,plain,
( inverse(multiply(X0,inverse(X0))) != X1
| sk_c8 != X1
| sk_c8 = inverse(multiply(X0,inverse(X0))) ),
inference(instantiation,[status(thm)],[c_76663]) ).
cnf(c_94089,plain,
( inverse(multiply(sk_c8,inverse(sk_c8))) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = inverse(multiply(sk_c8,inverse(sk_c8))) ),
inference(instantiation,[status(thm)],[c_94088]) ).
cnf(c_94106,plain,
( inverse(multiply(X0,inverse(X0))) != multiply(identity,inverse(identity))
| sk_c8 != multiply(identity,inverse(identity))
| inverse(multiply(X0,inverse(X0))) = sk_c8 ),
inference(instantiation,[status(thm)],[c_78576]) ).
cnf(c_94108,plain,
( inverse(multiply(sk_c8,inverse(sk_c8))) != multiply(identity,inverse(identity))
| sk_c8 != multiply(identity,inverse(identity))
| inverse(multiply(sk_c8,inverse(sk_c8))) = sk_c8 ),
inference(instantiation,[status(thm)],[c_94106]) ).
cnf(c_94254,plain,
( multiply(sk_c8,sk_c7) != sk_c7
| multiply(sk_c3,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) = multiply(sk_c3,sk_c8) ),
inference(instantiation,[status(thm)],[c_81453]) ).
cnf(c_95173,plain,
( multiply(sk_c3,inverse(sk_c3)) != multiply(sk_c3,sk_c8)
| multiply(sk_c8,sk_c7) != multiply(sk_c3,sk_c8)
| multiply(sk_c3,inverse(sk_c3)) = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_76929]) ).
cnf(c_96379,plain,
( multiply(sk_c3,inverse(sk_c3)) != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c3,inverse(sk_c3)) ),
inference(instantiation,[status(thm)],[c_85816]) ).
cnf(c_97974,plain,
( sk_c8 = identity
| inverse(sk_c8) != sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_43460,c_85,c_56,c_74,c_62,c_382,c_375,c_1066,c_1331,c_1392,c_1442,c_1443,c_2453,c_2727,c_3049,c_4826,c_7423,c_7632,c_10997,c_11085,c_13887,c_17893,c_18941,c_22002,c_23328,c_23331,c_24670,c_30797,c_43452,c_43459,c_44331,c_69727,c_76284,c_76398,c_76407,c_76408,c_76505,c_76509,c_76638,c_77066,c_77243,c_77574,c_77952,c_77971,c_78004,c_78073,c_78239,c_81305,c_81330,c_81428,c_81429,c_83824,c_85065,c_87618,c_94089,c_94108,c_94254,c_95173,c_96379]) ).
cnf(c_97975,plain,
( inverse(sk_c8) != sk_c6
| sk_c8 = identity ),
inference(renaming,[status(thm)],[c_97974]) ).
cnf(c_97976,plain,
sk_c8 = identity,
inference(global_subsumption_just,[status(thm)],[c_97975,c_85,c_56,c_382,c_1331,c_1392,c_2453,c_3049,c_11085,c_17893,c_18941,c_23328,c_30797,c_76284,c_76398,c_76509,c_76638,c_77066,c_77243,c_77574,c_77971,c_78004,c_78073,c_81305,c_81330,c_81428,c_81429,c_83824,c_87618,c_94089,c_94108,c_97975]) ).
cnf(c_98191,plain,
( identity != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_18668,c_97976]) ).
cnf(c_98316,plain,
( inverse(identity) = sk_c6
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_2547,c_97976]) ).
cnf(c_98386,plain,
~ sP0_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_98191]) ).
cnf(c_98408,plain,
sk_c6 = identity,
inference(light_normalisation,[status(thm)],[c_98316,c_1331]) ).
cnf(c_99305,plain,
( multiply(sk_c7,X0) = X0
| multiply(identity,sk_c7) = identity ),
inference(light_normalisation,[status(thm)],[c_2368,c_80,c_1331,c_97976,c_98408]) ).
cnf(c_99306,plain,
( multiply(sk_c7,X0) = X0
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_99305,c_80]) ).
cnf(c_99317,plain,
sk_c7 = identity,
inference(superposition,[status(thm)],[c_99306,c_1323]) ).
cnf(c_99320,plain,
~ sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_13234,c_99317]) ).
cnf(c_99567,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(global_subsumption_just,[status(thm)],[c_873,c_380,c_381,c_382,c_375,c_901,c_1069,c_1278,c_1331,c_2453,c_6698,c_7861,c_16153,c_16170,c_21097,c_21099,c_22337,c_40692,c_43171,c_47966,c_67764,c_76361,c_77971,c_83825,c_84326,c_97976,c_98386,c_98408,c_99320,c_99317]) ).
cnf(c_99569,plain,
multiply(identity,identity) != identity,
inference(light_normalisation,[status(thm)],[c_99567,c_97976,c_98408,c_99317]) ).
cnf(c_99570,plain,
identity != identity,
inference(demodulation,[status(thm)],[c_99569,c_80]) ).
cnf(c_99571,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_99570]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP357-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 21:36:04 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 14.43/2.70 % SZS status Started for theBenchmark.p
% 14.43/2.70 % SZS status Unsatisfiable for theBenchmark.p
% 14.43/2.70
% 14.43/2.70 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 14.43/2.70
% 14.43/2.70 ------ iProver source info
% 14.43/2.70
% 14.43/2.70 git: date: 2023-05-31 18:12:56 +0000
% 14.43/2.70 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 14.43/2.70 git: non_committed_changes: false
% 14.43/2.70 git: last_make_outside_of_git: false
% 14.43/2.70
% 14.43/2.70 ------ Parsing...successful
% 14.43/2.70
% 14.43/2.70
% 14.43/2.70
% 14.43/2.70 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 14.43/2.70
% 14.43/2.70 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.43/2.70
% 14.43/2.70 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 14.43/2.70 ------ Proving...
% 14.43/2.70 ------ Problem Properties
% 14.43/2.70
% 14.43/2.70
% 14.43/2.70 clauses 37
% 14.43/2.70 conjectures 34
% 14.43/2.70 EPR 0
% 14.43/2.70 Horn 6
% 14.43/2.70 unary 3
% 14.43/2.70 binary 30
% 14.43/2.70 lits 78
% 14.43/2.70 lits eq 72
% 14.43/2.70 fd_pure 0
% 14.43/2.70 fd_pseudo 0
% 14.43/2.70 fd_cond 0
% 14.43/2.70 fd_pseudo_cond 0
% 14.43/2.70 AC symbols 0
% 14.43/2.70
% 14.43/2.70 ------ Schedule dynamic 5 is on
% 14.43/2.70
% 14.43/2.70 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.43/2.70
% 14.43/2.70
% 14.43/2.70 ------
% 14.43/2.70 Current options:
% 14.43/2.70 ------
% 14.43/2.70
% 14.43/2.70
% 14.43/2.70
% 14.43/2.70
% 14.43/2.70 ------ Proving...
% 14.43/2.70
% 14.43/2.70
% 14.43/2.70 % SZS status Unsatisfiable for theBenchmark.p
% 14.43/2.70
% 14.43/2.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.43/2.71
% 14.43/2.71
%------------------------------------------------------------------------------